Bosonic transport through a chain of quantum dots
Bosonic transport through a chain of quantum dots
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DOI：
10.1140/epjb/e2013-40417-4
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发表时间：
2013-04
期刊：
影响因子：
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通讯作者：
A. Ivanov;G. Kordas;A. Komnik;S. Wimberger
中科院分区：
文献类型：
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作者：
A. Ivanov;G. Kordas;A. Komnik;S. Wimberger
研究了粒子在两个玻色子库耦合的量子点链中的输运。对于非相互作用玻色子粒子的储层，我们导出了一组精确的随机微分方程，其记忆核和驱动噪声完全由储层的性质来表征。对于马尔可夫极限，给出了一种解析可解的情况。当两个储层瞬间耦合到一个空的量子点链时，粒子间相互作用对系统瞬态行为的影响可以用一种称为截断维格纳近似的半经典方法来近似。通过相互作用系统的谱特性解释了稳态粒子在链中的流动和平均粒子占位。
The particle transport through a chain of quantum dots coupled to two bosonic reservoirs is studied. For the case of reservoirs of non-interacting bosonic particles, we derive an exact set of stochastic differential equations, whose memory kernels and driving noise are characterised entirely by the properties of the reservoirs. Going to the Markovian limit an analytically solvable case is presented. The effect of interparticle interactions on the transient behaviour of the system, when both reservoirs are instantaneously coupled to an empty chain of quantum dots, is approximated by a semiclassical method, known as the Truncated Wigner approximation. The steady-state particle flow through the chain and the mean particle occupations are explained via the spectral properties of the interacting system.